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Finding the Fourth Proportional to 9,086.34, 12,538.52 and 5,108.04

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Solution

The fourth proportional to 9,086.34, 12,538.52 and 5,108.04 is: 7,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.34 : 12,538.52 = 5,108.04 : x
  2. Step 2: Convert to fraction form
    9,086.34/12,538.52 = 5,108.04/x
  3. Step 3: Cross multiply
    9,086.34x = 12,538.52 × 5,108.04
  4. Step 4: Simplify right side
    9,086.34x = 64,047,236.16
  5. Step 5: Solve for x
    x = 64,047,236.16/9,086.34
  6. Step 6: Final answer
    x = 7,048.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.